12076125312 has 128 divisors (see below), whose sum is σ = 32685793920. Its totient is φ = 3949568000.

The previous prime is 12076125311. The next prime is 12076125323. The reversal of 12076125312 is 21352167021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12076125312² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12076125312.

It is not an unprimeable number, because it can be changed into a prime (12076125311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6351562 + ... + 6353462.

It is an arithmetic number, because the mean of its divisors is an integer number (255357765).

Almost surely, 2^12076125312 is an apocalyptic number.

12076125312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12076125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16342896960).

12076125312 is an abundant number, since it is smaller than the sum of its proper divisors (20609668608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12076125312 is a wasteful number, since it uses less digits than its factorization.

12076125312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 12076125312 in words is "twelve billion, seventy-six million, one hundred twenty-five thousand, three hundred twelve".